λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,109,952

9,109,952

26 × 137 × 1039
Abundant Even Composite

9,109,952 factors as 2^6 × 137 × 1039. Its 28 positive divisors give a proper-divisor sum of 9,117,088, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^6 × 137 × 1039
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 18,227,040
Proper Divisor Sum 9,117,088
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9109927 ← → #9109957

Radix Representation

Decimal 9109952
Binary 100010110000000111000000 (24 bits)
Octal 0o42600700
Hexadecimal 0x8B01C0

Divisor Catalog (28)

1 2 4 8 16 32 64 137 274 548 1,039 1,096 2,078 2,192 4,156 4,384 8,312 8,768 16,624 33,248 66,496 142,343 284,686 569,372 1,138,744 2,277,488 4,554,976 9,109,952

Collatz Trajectory (80 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,109,952 4,554,976 2,277,488 1,138,744 569,372 284,686 142,343 427,030 213,515 640,546 320,273 960,820 480,410 240,205 720,616 360,308 180,154 90,077 270,232 135,116 67,558 33,779 101,338 50,669 152,008 76,004 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,109,951 Browse Full Index Next Integer #9,109,953 →